Point-Slope & Slope-Intercept Forms

Front

What is the Point-Slope form of a linear equation?

Back

The Point-Slope form is given by the equation: y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

What is the Slope-Intercept form of a linear equation?

Back

The Slope-Intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert from Point-Slope form to Slope-Intercept form?

Back

To convert, solve for y in the Point-Slope form equation: y - y₁ = m(x - x₁) to get y = mx + b.

Front

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope of the line is -3.

Front

Write the Point-Slope form of the line that passes through (4, -7) with a slope of -1/4.

Back

y + 7 = -1/4(x - 4)